ASVAB Arithmetic Reasoning Practice Test 691622 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 65% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
42
53
37
68
Solution
If the guard hits 65% of his shots and takes 30 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{65}{100} \) = \( \frac{65 x 30}{100} \) = \( \frac{1950}{100} \) = 19 shots

The center makes 45% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{19}{\frac{45}{100}} \) = 19 x \( \frac{100}{45} \) = \( \frac{19 x 100}{45} \) = \( \frac{1900}{45} \) = 42 shots

to make the same number of shots as the guard and thus score the same number of points.

2

52% Answer Correctly
3.6
1
5.0
1.0
Solution


1

3

What is the greatest common factor of 32 and 64?

77% Answer Correctly
6
22
32
24
Solution

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 6 factors [1, 2, 4, 8, 16, 32] making 32 the greatest factor 32 and 64 have in common.

4

In a class of 24 students, 9 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
23
8
24
11
Solution

The number of students taking German or Spanish is 9 + 13 = 22. Of that group of 22, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 6 = 16 who are taking at least one language. 24 - 16 = 8 students who are not taking either language.

5

What is \( \frac{4}{5} \) x \( \frac{3}{6} \)?

72% Answer Correctly
\(\frac{4}{63}\)
2\(\frac{2}{5}\)
\(\frac{2}{5}\)
\(\frac{1}{4}\)
Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{5} \) x \( \frac{3}{6} \) = \( \frac{4 x 3}{5 x 6} \) = \( \frac{12}{30} \) = \(\frac{2}{5}\)